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Two-sided infinite self-avoiding walk in high dimensions
In this paper, we consider self-avoiding walk (SAW) on $\mathbb{Z}^d$ for $d\geq5$. We construct the \emph{two-sided infinite SAW} and use it to prove pattern theorems for the self-avoiding walk. We show that infinite two-sided SAW is the infinite-shift limit of infinite one-sided SAW and the infini
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